Given that z is a standard normal random variable, find z for each situation. (Round your answers to two decimal places.) (a) The area to the left of z is 0.1841. (b) The area between −z and z is 0.9398. (c) The area between −z and z is 0.2052. (d) The area to the left of z is 0.9949. (e) The area to the right of z is 0.6915.

Given that z is a standard normal random variable, find z for each situation. (Round your answers to two decimal places.) (a) The area to the left of z is 0.1841. (b) The area between −z and z is 0.9398. (c) The area between −z and z is 0.2052. (d) The area to the left of z is 0.9949. (e) The area to the right of z is 0.6915.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

Given that z is a standard normal random variable, find z for each situation. (Round your answers to two decimal places.)

(a)

The area to the left of z is 0.1841.

(b)

The area between −z and z is 0.9398.

(c)

The area between −z and z is 0.2052.

(d)

The area to the left of z is 0.9949.

(e)

The area to the right of z is 0.6915.

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Step 1: Standard normal distribution:

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Step 2: (a) The area to the left of z is 0.1841.

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Step 3: (b) The area between −z and z is 0.9398.

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Step 4: (c) The area between −z and z is 0.2052.

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Step 5: (d) The area to the left of z is 0.9949.

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Step 6: (e) The area to the right of z is 0.6915.

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